Question

Please i need help with one question! metal rewarded!!

Which inequality matches the graph?

-2x + 3y > 7

2x - 3y < 7

-3x + 2y ≥ 7

3x - 2y ≤ 7

Answer 1

your graph has a solid line, this means there is an equal sign.
your graph is shaded above the line, this means it is greater then.
That automatically eliminates 1st and 2nd answer choices.

-3x + 2y >= 7
2y >= 3x + 7
y >= 3/2x + 7/2

y intercept is 7/2 (which is 3 1/2)
to find your x intercept, sub in 0 for y...
-3x + 2y >= 7
-3x + 2(0) >= 7
-3x >= 7
x >= -7/3 (which is - 2 1/3) --- this is your x intercept

so the correct equation for this graph is : -3x + 2y >= 7